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3370040070 = 2351931269709
BaseRepresentation
bin1100100011011110…
…1011101100000110
322200212022202212220
43020313223230012
523400212240240
61314223353210
7146340603465
oct31067535406
98625282786
103370040070
11147a332a91
127a0752806
13419266167
1423d80c9dc
1514acda5d0
hexc8debb06

3370040070 has 128 divisors (see below), whose sum is σ = 8833536000. Its totient is φ = 819694080.

The previous prime is 3370040053. The next prime is 3370040071. The reversal of 3370040070 is 700400733.

It is a super-2 number, since 2×33700400702 = 22714340146811209800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3370040070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370040071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4752876 + ... + 4753584.

It is an arithmetic number, because the mean of its divisors is an integer number (69012000).

Almost surely, 23370040070 is an apocalyptic number.

3370040070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370040070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416768000).

3370040070 is an abundant number, since it is smaller than the sum of its proper divisors (5463495930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3370040070 is a wasteful number, since it uses less digits than its factorization.

3370040070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038.

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 3370040070 is about 58052.0462171662. The cubic root of 3370040070 is about 1499.2648353030.

It can be divided in two parts, 3 and 370040070, that added together give a palindrome (370040073).

The spelling of 3370040070 in words is "three billion, three hundred seventy million, forty thousand, seventy".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 269 285 310 465 538 570 589 709 807 930 1178 1345 1418 1614 1767 2127 2690 2945 3534 3545 4035 4254 5111 5890 7090 8070 8339 8835 10222 10635 13471 15333 16678 17670 21270 21979 25017 25555 26942 30666 40413 41695 43958 50034 51110 65937 67355 76665 80826 83390 109895 125085 131874 134710 153330 158441 190721 202065 219790 250170 316882 329685 381442 404130 417601 475323 572163 659370 792205 835202 950646 953605 1144326 1252803 1584410 1907210 2088005 2376615 2505606 2860815 3623699 4176010 4753230 5721630 5912351 6264015 7247398 10871097 11824702 12528030 17737053 18118495 21742194 29561755 35474106 36236990 54355485 59123510 88685265 108710970 112334669 177370530 224669338 337004007 561673345 674008014 1123346690 1685020035 3370040070